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Finding the Fourth Proportional to 782.94, 1,174.68 and 563.16

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Solution

The fourth proportional to 782.94, 1,174.68 and 563.16 is: 844.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.94 : 1,174.68 = 563.16 : x
  2. Step 2: Convert to fraction form
    782.94/1,174.68 = 563.16/x
  3. Step 3: Cross multiply
    782.94x = 1,174.68 × 563.16
  4. Step 4: Simplify right side
    782.94x = 661,532.79
  5. Step 5: Solve for x
    x = 661,532.79/782.94
  6. Step 6: Final answer
    x = 844.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.